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Finding the Fourth Proportional to 183.87, 276.95 and 164.84

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Solution

The fourth proportional to 183.87, 276.95 and 164.84 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.87 : 276.95 = 164.84 : x
  2. Step 2: Convert to fraction form
    183.87/276.95 = 164.84/x
  3. Step 3: Cross multiply
    183.87x = 276.95 × 164.84
  4. Step 4: Simplify right side
    183.87x = 45,651.47
  5. Step 5: Solve for x
    x = 45,651.47/183.87
  6. Step 6: Final answer
    x = 248.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.